## Caolco 2 years ago Is this answer correct? The point P(18, 24) is on the terminal side of θ. Evaluate sin θ. =4/3

1. swissgirl

hmm what does it mean to be on the terminal side of theta?

2. Caolco

Oh I see. Thanks for the diagram. So it is 4/3

3. swissgirl

nope i had to switch it cuz i cldnt evaluate 4/3 only 3/4

4. swissgirl

smth is wrong hmmmm i must have drawn the pic incorrectly

5. Caolco

well the possible answers are 4/5 4/3 3/5 3/4

6. Caolco

and I evaluated with 24/18 and just simplified the answer to 4/3. Is that wrong?

7. swissgirl

ohhh i see my mess up sin is opposite over hypotnuse |dw:1350264991894:dw|

8. swissgirl

$$r^2=18^2+24^2$$ $$r^2=900$$ $$r=30$$

9. swissgirl

$$sin( \theta) = \large \frac {24}{30}=\frac {4} {5}$$

10. swissgirl

by the way r=hypotnuse

11. swissgirl

$$Sin( \theta)= \frac{opposite}{hypoynuse}$$

12. Caolco

So the answer is 4/5? Damn, I was way off.

13. swissgirl

well we forgot about the hypotnuse lol

14. Caolco

makes sense. :P Thanks for catching that.